189253886976 has 792 divisors, whose sum is σ = 716427728640. Its totient is φ = 47532441600.

The previous prime is 189253886959. The next prime is 189253886981. The reversal of 189253886976 is 679688352981.

189253886976 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 538 + 86 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153989530 + ... + 153990758.

Almost surely, 2^189253886976 is an apocalyptic number.

189253886976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189253886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358213864320).

189253886976 is an abundant number, since it is smaller than the sum of its proper divisors (527173841664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189253886976 is a wasteful number, since it uses less digits than its factorization.

189253886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1283 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 189253886976 in words is "one hundred eighty-nine billion, two hundred fifty-three million, eight hundred eighty-six thousand, nine hundred seventy-six".